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Finding the Fourth Proportional to 1,662.63, 2,492.26 and 1,046.77

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Solution

The fourth proportional to 1,662.63, 2,492.26 and 1,046.77 is: 1,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.63 : 2,492.26 = 1,046.77 : x
  2. Step 2: Convert to fraction form
    1,662.63/2,492.26 = 1,046.77/x
  3. Step 3: Cross multiply
    1,662.63x = 2,492.26 × 1,046.77
  4. Step 4: Simplify right side
    1,662.63x = 2,608,823.00
  5. Step 5: Solve for x
    x = 2,608,823.00/1,662.63
  6. Step 6: Final answer
    x = 1,569.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.